We present a survey of the emerging literature on the design of matching markets. We survey the articles on discrete … and present new theory and applications regarding this problem. We present proposed and adopted mechanisms that take very …

We introduce a two-sided, many-to-one matching with contracts model in which agents with unit demand match to branches … matching markets with slot-specific priorities, branches' choice functions may not satisfy the substitutability conditions … typically crucial for matching with contracts. Despite this complication, we are able to show that stable outcomes exist in the …